Question
Factorise $: 4\sqrt3x^2 + 5x - 2\sqrt3$
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Answer
$4\sqrt3x^2 + 5x - 2\sqrt3$
$= 4\sqrt3x^2+ 8x - 3x - 2\sqrt3$
$= 4x( \sqrt3x + 2 ) - \sqrt3( \sqrt3x + 2 )$
$= ( \sqrt3x + 2 )( 4x - \sqrt3 )$
$= 4\sqrt3x^2+ 8x - 3x - 2\sqrt3$
$= 4x( \sqrt3x + 2 ) - \sqrt3( \sqrt3x + 2 )$
$= ( \sqrt3x + 2 )( 4x - \sqrt3 )$
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